In a straight line motion, the distance travelled is proportional to

1.	In a straight line motion, the distance travelled is proportional to the square root of the time taken. The acceleration of the particle is proportional to:-A. velocity B. v2 C. v3 D. v1/2
Answer» We know that distance x ∝ t^½, velocity v = dx/dt ∝ ½ t^−½, acceleration a = dv/dt ∝ ½ (−½) t^−3/2, Therefore a ∝ v³. Hence, the correct answer is (C)

In a straight line motion, the distance travelled is proportional to the square root of the time taken. The acceleration of the particle is proportional to:-A. velocity B. v2 C. v3 D. v1/2

Answer»

We know that

distance x ∝ t^½,

velocity v = dx/dt ∝ ½ t^−½,

acceleration a = dv/dt ∝ ½ (−½) t^−3/2,

Therefore a ∝ v³.

Hence, the correct answer is (C)

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In a straight line motion, the distance travelled is proportional to the square root of the time taken. The acceleration of the particle is proportional to:-A. velocity B. v2 C. v3 D. v1/2

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